What two numbers multiply to 400 and add up to -41?

Here we answer the question: "What two numbers multiply to 400 and add up to -41?"

The answer to your question is:

-25 and -16

Below we illustrate and prove that -25 and -16 multiply to 400 and add up to -41:

-25 × -16 = 400
-25 + -16 = -41

Are you asking because you are trying to figure out how to factor the following quadratic equation?

x² - 41x + 400 = 0

If so, the solution to factor the quadratic equation above is:

(x - 25 ) (x - 16)

To summarize, since -25 and -16 multiply to 400 and add up -41, you know that the following is true:

x² - 41x + 400 = (x - 25 ) (x - 16)

Multiply To One Number and Add Up To Another
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